Attached to one end of a long, thin, uniform rod
Answers
Explanation:
Attached to one end of a long, thin, uniform rod of length L andmass M is a small blob of clay of the same mass M
a) Locate the position of the center of mass of he system of rodand clay. Note this position on a drawing of the rod.
b) You carefully balance the rod on a frictionless table top sothat it is sanding vertically, with the end without the claytouching the table. If the rod is now tipped so that it is a smallangle θ away from he vertical, determine its angularacceleration at this instant. Assume that the end without clayremains in contact with the tabletop.
c) You again balance the rod on the frictionless tabletop so thatit is standing vertically, but now the end of the rod with clay istouching the table. If the rod is again tipped so that it is asmall angle θ away from the vertical, determine its angularacceleration at this instant. Assume that the end with the clayremains in contact with the tabletop. How does this compare to theangular acceleration in part (b)?
d) A pool cue is a tapered wooden rod that is thick at one end andthin at the other. You can easily balance a pool cue vertically onone finer if the thin end is in contact with your finger; this isquite a bit harder to do if the thick end is in contact with yourfinger. Explain why there is a difference.